m=12m(4m-10)

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Solution for m=12m(4m-10) equation: 


Simplifying
m = 12m(4m + -10)

Reorder the terms:
m = 12m(-10 + 4m)
m = (-10 * 12m + 4m * 12m)
m = (-120m + 48m2)

Solving
m = -120m + 48m2

Solving for variable 'm'.

Combine like terms: m + 120m = 121m
121m + -48m2 = -120m + 48m2 + 120m + -48m2

Reorder the terms:
121m + -48m2 = -120m + 120m + 48m2 + -48m2

Combine like terms: -120m + 120m = 0
121m + -48m2 = 0 + 48m2 + -48m2
121m + -48m2 = 48m2 + -48m2

Combine like terms: 48m2 + -48m2 = 0
121m + -48m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(121 + -48m) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

Move all terms containing m to the left, all other terms to the right.

Simplifying
m = 0

Subproblem 2
Set the factor '(121 + -48m)' equal to zero and attempt to solve:

Simplifying
121 + -48m = 0

Solving
121 + -48m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-121' to each side of the equation.
121 + -121 + -48m = 0 + -121

Combine like terms: 121 + -121 = 0
0 + -48m = 0 + -121
-48m = 0 + -121

Combine like terms: 0 + -121 = -121
-48m = -121

Divide each side by '-48'.
m = 2.520833333

Simplifying
m = 2.520833333
Solution
m = {0, 2.520833333}

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